More on the similarity between D=5 simple supergravity and M theory

Mizoguchi, Shun’ya; Ohta, Nobuyoshi

doi:10.1016/s0370-2693(98)01122-8

Cited by 77 publications

(111 citation statements)

References 26 publications

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“…For explicitness, we focus for the most part on minimal supergravity in 5D, which leads to a non-linear sigma model on G 3 /K 3 = G 2(2) / SO(4) (see [16,17] for early discussions of this model, and [18,19] for an independent study of its application to 5D black holes in ungauged supergravity). The same sigma model (up to analytic continuation) has appeared in the study of 4D black holes [20], and is in fact related to the present one by a flip of the t and ψ directions, corresponding to a Weyl reflection in a Sl(2) subgroup of G 3 .…”

Section: Jhep05(2008)045mentioning

confidence: 99%

5D black holes and non-linear sigma models

Berkooz

Pioline

2008

J. High Energy Phys.

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Stationary solutions of 5D supergravity with U(1) isometry can be efficiently studied by dimensional reduction to three dimensions, where they reduce to solutions to a locally supersymmetric non-linear sigma model. We generalize this procedure to 5D gauged supergravity, and identify the corresponding gauging in 3D. We pay particular attention to the case where the Killing spinor is non constant along the fibration, which results, even for ungauged supergravity in 5D, in an additional gauging in 3D, without introducing any extra potential. We further study SU(2) × U(1) symmetric solutions, which correspond to geodesic motion on the sigma model (with potential in the gauged case). We identify and study the algebra of BPS constraints relevant for the Breckenridge-Myers-Peet-Vafa black hole, the Gutowski-Reall black hole and several other BPS solutions, and obtain the corresponding radial wave functions in the semi-classical approximation.

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Section: Jhep05(2008)045mentioning

confidence: 99%

5D black holes and non-linear sigma models

Berkooz

Pioline

2008

J. High Energy Phys.

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“…One Einstein-Maxwell theory in 5 dimensions is particularly interesting because it is the bosonic sector of simple supergravity in 5 dimensions, which shares many similarities with D = 11 supergravity, such as the cubic Chern-Simons term for the vector field [31]. The relevance of the exceptional group G 2 to that theory was pointed out in [29,32]. This system, as well as pure gravity or superstring models and Mtheory, for which one does get the Weyl group of a Kac-Moody algebra, are thus rather exceptional [11].…”

Section: Hyperbolic Kac-moody Algebras and Chaosmentioning

confidence: 99%

Hyperbolic Kac–Moody algebras and chaos in Kaluza–Klein models

et al. 2001

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Some time ago, it was found that the never-ending oscillatory chaotic behaviour discovered by Belinskii, Khalatnikov and Lifshitz (BKL) for the generic solution of the vacuum Einstein equations in the vicinity of a spacelike ("cosmological") singularity disappears in spacetime dimensions D ≡ d + 1 > 10. Recently, a study of the generalization of the BKL chaotic behaviour to the superstring effective Lagrangians has revealed that this chaos is rooted in the structure of the fundamental Weyl chamber of some underlying hyperbolic Kac-Moody algebra. In this Letter we show that the same connection applies to pure gravity in any spacetime dimension 4, where the relevant algebras are AE d . In this way the disappearance of chaos in pure gravity models in D 11 dimensions becomes linked to the fact that the Kac-Moody algebras AE d are no longer hyperbolic for d 10. 

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“…This idea has already been pointed out by several JHEP07 (2014)018 authors. Another, more interesting possibility is that extra anomalous contribution to the effective action on the brane might come in from the bulk, known as the anomaly inflow mechanism [126][127][128], [31,67,129,130]. This is an interesting possibility, but if this is true, then it would lead to a non-trivial prediction in the Higgs sector, since it is not the quantum effect of some5 field, but some other effective contribution induced from the bulk, that cancels the anomaly of the 5 field of the model.…”

Section: Orbifolds and Anomaliesmentioning

confidence: 99%

F-theory family unification

Mizoguchi

2014

J. High Energ. Phys.

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We propose a new geometric mechanism for naturally realizing unparallel three families of flavors in string theory, using the framework of F-theory. We consider a set of coalesced local 7-branes of a particular Kodaira singularity type and allow some of the branes to bend and separate from the rest, so that they meet only at an intersection point. Such a local configuration can preserve supersymmetry. Its matter spectrum is investigated by studying string junctions near the intersection, and shown to coincide, after an orbifold projection, with that of a supersymmetric coset sigma model whose target space is a homogeneous Kähler manifold associated with a corresponding painted Dynkin diagram. In particular, if one starts from the E 7 singularity, one obtains the E 7 /(SU(5) × U(1) 3 ) model yielding precisely three generations with an unparallel family structure. Possible applications to string phenomenology are also discussed.

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More on the similarity between D=5 simple supergravity and M theory

Cited by 77 publications

References 26 publications

5D black holes and non-linear sigma models

5D black holes and non-linear sigma models

Hyperbolic Kac–Moody algebras and chaos in Kaluza–Klein models

F-theory family unification

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